Magneto-Hemodynamics Mixed Convection with Radiative Heat Transfer in a Stenosed Artery

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The hemodynamics mixed convection in a stenosed artery with radiative heat transfer in the presence of magnetic field is investigated. Blood is regarded as a viscous, incompressible, Newtonian, electrically conducting and optically dense bio-magnetic fluid. The variable viscosity of blood depending on hematocrit (percentage volume of erythrocytes) is taken into account in order to improve resemblance to the real situation. The constriction in the artery due to stenosis is assumed to be symmetrical such that the stenotic height is small compared with the half width of the unconstricted channel. The governing equations of momentum and energy balance are obtained and solved both numerically using a shooting technique coupled with Runge-Kutta-Fehlberg integration method and analytically using a well known perturbation technique. The effects of various controlling parameters on the dimensionless velocity, temperature, pressure gradient, skin friction and Nusselt number are presented graphically and discussed. It is observed that the flow rate at the stenotic region is enhanced by buoyancy force. The fluid velocity decreases while the temperature increases with an in magnetic field intensity. Our results could be useful in improving the design of flow meters in bio-medical instrumentation for detecting cardiovascular pathological conditions such as stenosis.

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68-84

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September 2017

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